Algebra II Module 1, Topic C, Lesson 34

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Student Outcomes

  • Students learn the vertex form of the equation of a parabola and how is arises from the definition of a parabola.
  • Students perform geometric operations, such as rotations, reflections, and translations, on arbitrary parabolas to discover standard representations for their congruence classes. In doing so, they learn that all parabolas with the same distance p between the focus and the directrix are congruent to the graph of y = (1/2p)x2.

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Common Core Learning Standards

CCLS State Standard
G.GPE.2 Derive the equation of a parabola given a focus and directrix.

Curriculum Map